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Finding the Third Proportional to 158,761.13 and 243,199.13

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Solution

The third proportional to 158,761.13 and 243,199.13 is: 372,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761.13 : 243,199.13 = 243,199.13 : x
  2. Step 2: Convert to fraction form
    158,761.13/243,199.13 = 243,199.13/x
  3. Step 3: Cross multiply
    158,761.13x = 243,199.13 × 243,199.13
  4. Step 4: Simplify right side
    158,761.13x = 59,145,814,400.77
  5. Step 5: Solve for x
    x = 59,145,814,400.77/158,761.13
  6. Step 6: Final answer
    x = 372,545.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.